If the Clockwork Prince loses the Darkest Secret outside its turn under Oath of Devotion, where does the Prince's threat go?

Question

Accepted Answer

The Prince counts as having lost the Darkest Secret, so that loss makes it a new threat. The Prince in Exile then returns to the threat space for the Darkest Secret.

Oath: Chronicles of Empire & Exile

If the Clockwork Prince loses the Darkest Secret outside its turn under Oath of Devotion, where does the Prince's threat go?